100122210220000 has 240 divisors, whose sum is σ = 248864711800320. Its totient is φ = 39635979264000.

The previous prime is 100122210219937. The next prime is 100122210220093. The reversal of 100122210220000 is 22012221001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1038811812 + ... + 1038908188.

It is an arithmetic number, because the mean of its divisors is an integer number (1036936299168).

Almost surely, 2^{100122210220000} is an apocalyptic number.

100122210220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122210220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124432355900160).

100122210220000 is an abundant number, since it is smaller than the sum of its proper divisors (148742501580320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100122210220000 is an equidigital number, since it uses as much as digits as its factorization.

100122210220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96943 (or 96920 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100122210220000 its reverse (22012221001), we get a palindrome (100144222441001).

The spelling of 100122210220000 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty thousand".